Answer: First option
Step-by-step explanation:
You have the quadratic equation given in the problem:
To find an equivalent expression you cacn factorize. Find two numbers whose sum is -13 and whose product is -30.
These numbers would be -15 and 2.
Therfore, you obtain the following equivalent expression:
If you don't want to apply the method above, you can use the quadratic formula:
Where:
When you susbstitute values you obtain that:
Then you can rewrite the equation as
Answer:
A, B, C, E
Step-by-step explanation:
It can be seen from the figure that the points A, B, C and D, all are lying in the line t.
=> So that it can be concluded that AC and BC and BD have the slopes which are equal to each other and also equal to the slop of line t
So that all answer A, B, C are true.
In addition, as FD is parallel with x - axis, so that slope of the line t is equal to <em>tan angel FDB </em>
As FDB is the right triangle with BFD = 90°
=> tan angel FDB = FB/ FD (tan of an acute angel in the right triangle = opposite side/ adjacent side)
=> Slope of the line t is equal to FB/ FD
=> Answer E is true
Problem
Solution
For this case we know that the vertex is given by (3,6) and the genera equation for a parabola is given by:
y= a(x-h)^2 +k
Where h = 3, k=6 and replacing we have:
y= a(x-3)^2 +6
And we can find the value of a with the point given x= 4, y=4
4= a(4-3)^2 +6
4= a +6
a= 4-6=-2
And the correct equation would be:
d. y= -2(x-3)^2 +6
Answer:
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Step-by-step explanation:
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